Grade 8 Geometry Worksheets
Free printable geometry practice for Grade 8 students. Generate problems, solve them on screen or paper, and download as PDF.
Practice Worksheet
Grade 8 Geometry Practice
Solve each problem. Show your work.
- 1.Two angles form a straight line. One angle is 82°. Find the other angle.
- 2.Reflect the point (2, 7) across the y-axis. Give the new coordinates.
- 3.What is the sum of the interior angles of a 8-sided polygon?
- 4.Two angles form a straight line. One angle is 124°. Find the other angle.
- 5.Reflect the point (-3, -2) across the y-axis. Give the new coordinates.
- 6.What is the sum of the interior angles of a 9-sided polygon?
Show answer key
- Question 1: 98°
- Question 2: (-2, 7)
- Question 3: 1080°
- Question 4: 56°
- Question 5: (3, -2)
- Question 6: 1260°
Free Practice Worksheets
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Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Calculate the hypotenuse 'c' of a right triangle with legs a = 6 and b = 8 using the Pythagorean theorem (a² + b² = c²).
- 2.Find the volume of a cylinder with radius r = 3 and height h = 10 (Use 3.14 for pi; Volume = pi * r² * h).
- 3.A point at (2, 3) is translated 4 units right and 2 units down. What is the new coordinate?
- 4.Calculate the surface area of a cylinder with radius r = 2 and height h = 5 (Use 3.14 for pi; Surface Area = 2 * pi * r² + 2 * pi * r * h).
- 5.Two parallel lines are intersected by a transversal. If one interior angle is 70 degrees, what is the measure of its corresponding angle?
- 6.A point at (-1, 5) is reflected across the x-axis. What is the new coordinate?
Full range of grade expectations
Solve each problem. Show your work.
- 1.A right triangle has legs measuring 6 cm and 8 cm. Calculate the length of the hypotenuse using the Pythagorean theorem.
- 2.A cylinder has a radius of 3 cm and a height of 10 cm. Find the volume of the cylinder. (Use 3.14 for pi).
- 3.A triangle has vertices at A(1, 2), B(4, 2), and C(1, 6). If the triangle is translated 3 units right and 2 units down, what are the new coordinates of vertex C?
- 4.Two parallel lines are intersected by a transversal. If one interior angle measures 65 degrees, what is the measure of its corresponding exterior angle?
- 5.A cylindrical water tank has a diameter of 4 meters and a height of 5 meters. If you want to paint the exterior lateral surface of the tank, how many square meters will you need to cover? (Use 3.14 for pi).
- 6.A ladder is leaning against a vertical wall. The base of the ladder is 5 feet away from the wall, and the top of the ladder touches the wall at a height of 12 feet. How long is the ladder?
What Your Child Will Learn
Grade 8 geometry culminates with the Pythagorean theorem, giving students a powerful tool for finding an unknown side length in a right triangle when the other two sides are known. Students verify the relationship using area models built on each side of a right triangle before applying it to real-world problems like finding the diagonal of a rectangle or the length of a ladder against a wall.
Transformations are studied formally on the coordinate plane, with students describing translations, reflections, rotations, and dilations using precise coordinate rules and recognizing the properties that each transformation preserves, such as distance or angle measure. Students also solve multi-step problems involving the surface area and volume of cylinders, cones, and spheres, and use similarity and the Pythagorean theorem together to solve complex, real-world spatial problems.
Skills Covered
- Applying the Pythagorean theorem to find unknown side lengths
- Verifying the Pythagorean theorem using area models
- Describing translations, reflections, rotations, and dilations using coordinates
- Identifying properties preserved under each type of transformation
- Calculating surface area and volume of cylinders, cones, and spheres
- Solving real-world problems combining similarity and the Pythagorean theorem
Curriculum Aligned: Aligned with Strand E (Spatial Sense): applying the Pythagorean theorem and performing transformations on the coordinate plane.
Parent Tip: Measure the diagonal of a rectangular table or TV screen and compare it to the Pythagorean theorem's prediction using the side lengths — real measurements make an abstract formula feel provable.
What your child will practice
Practice core geometry skills aligned with Grade 8 curriculum standards, including problem-solving and conceptual understanding.
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Check my workFrequently Asked Questions
Why is geometry important in math?
Geometry develops spatial reasoning, logical thinking, and proof skills. It connects math to the physical world through shapes, measurements, and transformations.
How can I support geometry learning at home?
Build with blocks, identify shapes in the environment, measure rooms, and use drawing tools. Hands-on activities make geometry concepts concrete.
What geometry topics are covered in each grade?
K-2: identifying shapes and their properties. Grades 3-5: area, perimeter, angles. Grades 6-8: coordinate geometry, transformations, volume. Grades 9-12: proofs, trigonometry, circles.